14 citations · 31 across the 22 of their papers we have counts for
4 papers · 1 filter
Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds
G. C. Bento, O. P. Ferreira, J. G. Melo
This paper considers optimization problems on Riemannian manifolds and analyzes iteration-complexity for gradient and subgradient methods on manifolds with non-negative curvature.…
Weak Sharp Minima and Finite Termination of the Proximal Point Method for Convex Functions on Hadamard Manifolds
G. C. Bento, J. X. da Cruz Neto
In this paper we proved that the sequence generated by the proximal point method, associated to a unconstrained optimization problem in the Riemannian context, has finite terminati…
Convergence of inexact descent methods for nonconvex optimization on Riemannian manifolds
G. C. Bento, J. X. da Cruz Neto, P. R. Oliveira
In this paper we present an abstract convergence analysis of inexact descent methods in Riemannian context for functions satisfying Kurdyka-Lojasiewicz inequality. In particular, w…
Unconstrained steepest descent method for multicriteria optimization on Riemmanian manifolds
G. C. Bento, O. P. Ferreira, P. R. Oliveira
In this paper we present a steepest descent method with Armijo's rule for multicriteria optimization in the Riemannian context. The well definedness of the sequence generated by th…